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Warm-Up 12/04 1. A. Rigor: You will learn how to represent and operate with vectors in the coordinate plane and to write a vector as a linear combination.

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Presentation on theme: "Warm-Up 12/04 1. A. Rigor: You will learn how to represent and operate with vectors in the coordinate plane and to write a vector as a linear combination."— Presentation transcript:

1 Warm-Up 12/04 1. A

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3 Rigor: You will learn how to represent and operate with vectors in the coordinate plane and to write a vector as a linear combination of unit vectors. Relevance: You will be able to use vectors to solve real world problems.

4 8-2 Vectors in the coordinate Plane

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10 Unit Vector is a vector that has a magnitude of 1 unit. Linear Combination is the vector sum ai + bj.

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13 Component Form Linear Combination of i and j

14 Example 6: Find the component form of the vector v with magnitude 10 and direction angle 120°. Check Geometrically

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16 Example 8: A quarterback running forward at 5 meters per second throws a football with a velocity of 25 meters per second at an angle of 40° with the horizontal. What is the resultant speed and direction of the pass. The resultant speed of the football is about 29.1 meters per second at an angle of about 33.6° with the horizontal.

17 math! 8-2 Assignment: TX p497, 2-52 even

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